Greatest Common Factor of 2966 and 2972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2966, 2972 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2966 and 2972 is 2.

GCF(2966,2972) = 2

GCF of 2966 and 2972

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2966 and 2972

GCF of 2966 and 2972 is 2

Prime Factorization of 2966


2 2966
1483 1483
1

Prime factors of 2966 are 2,1483. Prime factorization of 2966 in exponential form is:

2966 = 21×14831

Prime Factorization of 2972


2 2972
2 1486
743 743
1

Prime factors of 2972 are 2,743. Prime factorization of 2972 in exponential form is:

2972 = 22×7431

∴ So by taking common prime factors GCF of 2966 and 2972 is 2

Greatest Common Factor of 2966 and 2972 by matching factors method

Factors of 2966

List of positive integer factors of 2966 that divides 2966 without a remainder.

1,2,1483,2966

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1,2,4,743,1486,2972

Greatest Common Factor

We found the factors and prime factorization of 2966 and 2972. The biggest common factor number is the GCF number.
So the greatest common factor 2966 and 2972 is 2.

Also check out the Least Common Multiple of 2966 and 2972

Properties of GCF 2966 and 2972

(i) The GCF of 2966 and 2972 is associative

GCF of 2966 and 2972 = GCF of 2972 and 2966

Related Greatest Common Factor of 2966

Related Greatest Common Factor of 2972

Frequently Asked Questions on GCF of 2966 and 2972

1. What is the GCF of 2966 and 2972?

Answer: GCF of 2966 and 2972 is 2.

2. What are the Factors of 2966?

Answer: Factors of 2966 are 1, 2, 1483, 2966. There are 4 integers that are factors of 2966. The greatest factor of 2966 is 2966.

3. What are the Factors of 2972?

Answer: Factors of 2972 are 1, 2, 4, 743, 1486, 2972. There are 6 integers that are factors of 2972. The greatest factor of 2972 is 2972.

4. How to Find the GCF of 2966 and 2972?

Answer:

Greatest Common Factor of 2966 and 2972 = 2

Step 1: Find the prime factorization of 2966

2966 = 2 x 1483

Step 2: Find the prime factorization of 2972

2972 = 2 x 2 x 743

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2966 and 2972 is 2